10 citations · 13 across the 7 of their papers we have counts for
15 papers
TV-based Spline Reconstruction with Fourier Measurements: Uniqueness and Convergence of Grid-Based Methods
Thomas Debarre, Quentin Denoyelle, Julien Fageot
We study the problem of recovering piecewise-polynomial periodic functions from their low-frequency information. This means that we only have access to possibly corrupted versions…
On Tempered Discrete and Lévy White Noises
Julien Fageot
We study the growth properties of the family of i.i.d. random sequences, also known as discrete white noises, and of their continuous-domain generalization, the family of Lévy whit…
The Critical Smoothness of Generalized Functions
Julien Fageot, John Paul Ward
For each integrability parameter , the critical smoothness of a periodic generalized function , denoted by is the supremum over the smoothness paramet…
TV-based Reconstruction of Periodic Functions
Julien Fageot, Matthieu Simeoni
We introduce a general framework for the reconstruction of periodic multivariate functions from finitely many and possibly noisy linear measurements. The reconstruction task is for…
3D Solid Spherical Bispectrum CNNs for Biomedical Texture Analysis
Valentin Oreiller, Vincent Andrearczyk, Julien Fageot +2
Locally Rotation Invariant (LRI) operators have shown great potential in biomedical texture analysis where patterns appear at random positions and orientations. LRI operators can b…
Local Rotation Invariance in 3D CNNs
Vincent Andrearczyk, Julien Fageot, Valentin Oreiller +2
Locally Rotation Invariant (LRI) image analysis was shown to be fundamental in many applications and in particular in medical imaging where local structures of tissues occur at arb…